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Finding the Fourth Proportional to 6,396.16, 9,588.64 and 3,274.12

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Solution

The fourth proportional to 6,396.16, 9,588.64 and 3,274.12 is: 4,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.16 : 9,588.64 = 3,274.12 : x
  2. Step 2: Convert to fraction form
    6,396.16/9,588.64 = 3,274.12/x
  3. Step 3: Cross multiply
    6,396.16x = 9,588.64 × 3,274.12
  4. Step 4: Simplify right side
    6,396.16x = 31,394,358.00
  5. Step 5: Solve for x
    x = 31,394,358.00/6,396.16
  6. Step 6: Final answer
    x = 4,908.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.